Constrained Assortment Optimization Under the Paired Combinatorial Logit Model

Published Online:https://doi.org/10.1287/opre.2021.2188

References

  • Ageev AA, Hassin R, Sviridenko M (2001) A 0.5-approximation algorithm for MAX DICUT with given sizes of parts. SIAM J. Discrete Math. 14(2):246–255.CrossrefGoogle Scholar
  • Ageev AA, Sviridenko M (1999) Approximation algorithms for maximum coverage and max cut with given sizes of parts. Cornuejols G, Burkard RE, Woeginger GJ, eds. Integer Programming Combinatorial Optimization, Lecture Notes in Computer Science, vol. 1610 (Springer), 17–30.CrossrefGoogle Scholar
  • Arora S, Karger DR, Karpinski M (1999) Polynomial time approximation schemes for dense instances of np-hard problems. J. Comput. System Sci. 58(1):193–210.CrossrefGoogle Scholar
  • Bekhor S, Prashker J (1998) Investigation of stochastic network loading procedures. Transportation Res. Record 1645(1):94–102.CrossrefGoogle Scholar
  • Blanchet J, Gallego G, Goyal V (2016) A Markov chain approximation to choice modeling. Oper. Res. 64(4):886–905.LinkGoogle Scholar
  • Buchbinder N, Feldman M (2019) Constrained submodular maximization via a nonsymmetric technique. Math. Oper. Res. 44(3):988–1005.LinkGoogle Scholar
  • Chen A, Ryu S, Xu X, Choi K (2014) Computation and application of the paired combinatorial logit stochastic user equilibrium problem? Comput. Oper. Res. 43(1):68–77.CrossrefGoogle Scholar
  • Davis J, Gallego G, Topaloglu H (2013) Assortment planning under the multinomial logit model with totally unimodular constraint structures. Working paper, Cornell University, Ithaca, NY.Google Scholar
  • Davis J, Gallego G, Topaloglu H (2014) Assortment optimization under variants of the nested logit model. Oper. Res. 62(2):250–273.LinkGoogle Scholar
  • Feldman J (2017) Technical note: Space constrained assortment optimization under the paired combinatorial logit model. Preprint, submitted August 5, https://dx.doi.org/10.2139/ssrn.3013321.Google Scholar
  • Feldman J, Topaloglu H (2015) Capacity constraints across nests in assortment optimization under the nested logit model. Oper. Res. 63(4):812–822.LinkGoogle Scholar
  • Gallego G, Topaloglu H (2014) Constrained assortment optimization for the nested logit model. Management Sci. 60(10):2583–2601.LinkGoogle Scholar
  • Goemans M, Williamson D (1995) Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. J. ACM 42(6):1115–1145.CrossrefGoogle Scholar
  • Håstad J (2001) Some optimal inapproximability results. J. ACM 48(4):798–859.CrossrefGoogle Scholar
  • Karoonsoontawong A, Lin DY (2015) Combined gravity model trip distribution and paired combinatorial logit stochastic user equilibrium problem. Networks Spatial Econom. 15(4):1011–1048.CrossrefGoogle Scholar
  • Khot S (2002) On the power of unique 2-prover 1-round games. Proc. 34th Annual ACM Sympos. Theory Comput. (ACM, New York), 767–775.Google Scholar
  • Khot S, Kindler G, Mossel E, O’Donnell R (2007) Optimal inapproximability results for max-cut and other 2-variable CSPS? SIAM J. Comput. 37(1):319–357.CrossrefGoogle Scholar
  • Koppleman F, Wen CH (2000) The paired combinatorial logit model: Properties, estimation and application. Transportation Res. B: Methodological 34(2):75–89.CrossrefGoogle Scholar
  • Kulik A, Shachnai H, Tamir T (2013) Approximations for monotone and nonmonotone submodular maximization with knapsack constraints. Math. Oper. Res. 38(4):729–739.LinkGoogle Scholar
  • Lee J, Mirrokni VS, Nagarajan V, Sviridenko M (2010) Maximizing nonmonotone submodular functions under matroid or knapsack constraints. SIAM J. Discrete Math. 23(4):2053–2078.CrossrefGoogle Scholar
  • Lewin M, Livnat D, Zwick U (2002) Improved rounding techniques for the MAX 2-SAT and MAX DI-CUT problems. Cook WJ, Schulz AS, eds. Integer Programming Combinatorial Optim., Lecture Notes in Computer Science, vol. 2337 (Springer, Berlin, Heidelberg), 67–82.CrossrefGoogle Scholar
  • Li H, Webster S (2017) Optimal pricing of correlated product options under the paired combinatorial logit model. Oper. Res. 65:1215–1230.LinkGoogle Scholar
  • McFadden D (1974) Conditional logit analysis of qualitative choice behavior. Zarembka P, ed. Frontiers in Economics (Academic Press, New York), 105–142.Google Scholar
  • Rusmevichientong P, Shen ZJM, Shmoys D (2010) Dynamic assortment optimization with a multinomial logit choice model and capacity constraint. Oper. Res. 58(6):1666–1680.LinkGoogle Scholar
  • Rusmevichientong P, Shmoys D, Tong C, Topaloglu H (2014) Assortment optimization under the multinomial logit model with random choice parameters. Production Oper. Management 23(11):2023–2039.CrossrefGoogle Scholar
  • Talluri K, van Ryzin G (2004) Revenue management under a general discrete choice model of consumer behavior. Management Sci. 50(1):15–33.LinkGoogle Scholar
  • Zhang H, Rusmevichientong P, Topaloglu H (2020) Assortment optimization under the paired combinatorial logit model. Oper. Res. 68(3):741–761.LinkGoogle Scholar
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